It is shown that a morphism of quivers having a certain pathlifting property has a decomposition that mimics the decompositionof maps of topological spaces into homotopy equivalences composedwith fibrations. Such a decomposition enables one to describe theright adjoint of the restriction of the representation functoralong a morphism of quivers having this path lifting property.These right adjoint functors are used to construct injectiverepresentations of quivers. As an application, the injectiverepresentations of the cyclic quivers are classified when the basering is left noetherian. In particular, the indecomposableinjective representations are described in terms of the injectiveindecomposable $R$-modules and the injective indecomposable$R[x,x^{-1}]$-modules.
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机译：结果表明，具有一定路径提升特性的颤动态具有分解作用，该分解作用模仿拓扑空间图分解为由纤维组成的同位等价物。这种分解使人们能够描述具有该路径提升特性的颤动态的颤动态的表示伴随函数的约束的右伴随性。这些右伴随函子用于构造颤动的内射表示。作为一种应用，当基环保持noetherian时，对循环颤动的注入表示进行分类。特别地，根据可注射的不可分解的$ R $模块和可注射的不可分解的$ R [x，x ^ {-1}] $模块来描述不可分解的内射表示。
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